Make truth tables for each of the following propositional forms.
a) P ∧ ∼P.
b) P ∨ ∼P.
c) P ∧ ∼Q.
d) P ∧ (Q ∨ ∼Q).
e) (P ∧ Q) ∨ ∼Q.
f) ∼(P ∧ Q).
g) (P ∨ ∼Q) ∧ R.
h) ∼P ∧ ∼Q.
i) P ∧ (Q ∨ R).
j) (P ∧ Q) ∨ (P ∧ R).
k) P ∧ P.
l) (P ∧ Q) ∨ (R ∧ ∼S).
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